Engee documentation

Ring-Planet

Planetary transmission made of drive, ring and planetary gears with adjustable gear ratio and friction losses.

ring planet

Description

The Ring-Planet unit is a drive gear, ring gear and a set of planetary gears. The planetary gears mesh with the drive gear and rotate with it. The planetary and ring gears rotate at a fixed gear ratio that you specify. The ring-planetary gear and sun-planetary gear are the basic elements of a planetary gearbox.

ring planet 1

Thermal model

You can model the effects of heat flow and temperature change by enabling the optional thermal port. To use the thermal port, set the Friction model parameter to `Temperature-dependent efficiency'.

Equations

Ideal gears and gear ratios

The Ring-Planet block imposes one kinematic and one geometric constraint on three linked axes:




The gear ratio for ring gear and planetary gear meshing is equal to:

where is the number of teeth on each gear. In terms of this relationship, the key kinematic constraint is:

The three degrees of freedom are reduced to two independent pairs of gears: .

The gear ratio of the planetary gear must be .

Torque transmission is carried out as follows:

In the ideal case where there are no torque transmission losses, .

Non-ideal limits and losses in gears

In the non-ideal case, . For more details, see Modelling of mechanical gears with losses.

Assumptions and limitations

  • The inertia of the gears is negligible.

  • Gears are treated as solids.

Ports

Conserving

# С — drive pinion
`rotational mechanics

Details

A non-directional port associated with the drive gear.

Program usage name

carrier_flange

# P — planetary gear
`rotational mechanics

Details

A non-directional port associated with a planetary gear.

Program usage name

planet_flange

# R — ring gear
`rotational mechanics

Details

A non-directional port associated with a ring gear.

Program usage name

ring_flange

# H — heat flux
`heat

Details

A non-directional port associated with heat flow.

The heat port allows modelling the heat flow between the unit and the connected network.

Dependencies

To use this port, set Friction model to `Temperature-dependent efficiency'.

Program usage name

thermal_port

Parameters

Main

# Ring (R) to planet (P) teeth ratio (NR/NP) — gear ratio from ring gear to planetary gear

Details

Constant gear ratio, , ring gear revolutions to planetary gear revolutions. Determined by the number of teeth of the ring gear divided by the number of teeth of the planetary gear. The gear ratio must be >1.

Default value

2

Program usage name

ratio

Evaluatable

Yes

Meshing Losses

# Friction model — friction model
No meshing losses - Suitable for HIL simulation | Constant efficiency | Temperature-dependent efficiency

Details

A model of friction in a transmission. Defined as:

  • No meshing losses - Suitable for HIL simulation - the gearing is assumed to be perfect.

  • Constant efficiency - torque transmission between gear pairs is reduced by a constant efficiency value, , so that .

  • Temperature-dependent efficiency - the torque transmission between gear pairs is determined by an interpolation table of temperature and torque transmission efficiency.

Values

No meshing losses - Suitable for HIL simulation | Constant efficiency | Temperature-dependent efficiency

Default value

No meshing losses - Suitable for HIL simulation

Program usage name

friction_model

Evaluatable

No

# Ordinary efficiency — Torque transmission efficiency

Details

Torque transmission efficiency, , for meshing the outer and inner pair of planetary gears. This value must be in the range (0,1].

Dependencies

To use this parameter, set Friction model to Constant efficiency.

Default value

0.98

Program usage name

efficiency_const

Evaluatable

Yes

# Temperature — vector of temperature values
K | degC | degF | degR | deltaK | deltadegC | deltadegF | deltadegR

Details

A vector of temperature values used to construct an interpolation table of temperature and torque transmission efficiency. The elements of the vector should be monotonically increasing.

Dependencies

To use this parameter, set the Friction model parameter to `Temperature-dependent efficiency'.

Values

K | degC | degF | degR | deltaK | deltadegC | deltadegF | deltadegR

Default value

[280.0, 300.0, 320.0] K

Program usage name

temperature_vector

Evaluatable

Yes

# Efficiency — vector of efficiency values

Details

Vector of efficiency values, , for ring gear and planetary gear.

The unit uses these values to build an interpolation table of temperature and efficiency correspondence.

Each element is an efficiency related to the temperature vector of the Temperature parameter. The length of the vector must be equal to the length of the vector of the Temperature parameter. Each element of the vector must be in the range (0,1].

Dependencies

To use this parameter, set the Friction model parameter to `Temperature-dependent efficiency'.

Default value

[0.95, 0.9, 0.85]

Program usage name

efficiency_vector

Evaluatable

Yes

# Planet-carrier power threshold — minimum threshold power value
W | GW | MW | kW | mW | uW | HP_DIN

Details

The threshold power value above which the full efficiency value is applied. Below this value, the efficiency value is smoothed using a hyperbolic tangent function.

  • If Friction model is set to `Constant efficiency', the unit reduces losses to zero when no power is transmitted.

  • If Friction model is set to `Temperature-dependent efficiency', the unit smooths the efficiencies between zero at rest and the values given in the interpolation tables for temperature and torque transfer efficiency.

Dependencies

To use this parameter, set the Friction model parameter to `Constant efficiency' or `Temperature-dependent efficiency'.

Values

W | GW | MW | kW | mW | uW | HP_DIN

Default value

0.001 W

Program usage name

power_threshold

Evaluatable

Yes

Viscous Losses

# Planet-carrier viscous friction coefficient — viscous friction coefficient between gears
N*m*s/rad | ft*lbf*s/rad

Details

Viscous friction coefficient for the movement of the planetary and carrier gears.

Values

N*m*s/rad | ft*lbf*s/rad

Default value

0.0 N*m*s/rad

Program usage name

viscous_coefficient

Evaluatable

Yes

Thermal Port

# Thermal mass — heat capacity
J/K | kJ/K

Details

The heat energy required to change the temperature of a component by one degree. The greater the heat capacity, the more resistant the component is to temperature change.

Dependencies

To use this parameter, set the Friction model parameter to `Temperature-dependent efficiency'.

Values

J/K | kJ/K

Default value

50.0 J/K

Program usage name

thermal_mass

Evaluatable

Yes